• Title/Summary/Keyword: Heat Equation

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Temperature Dependence of Energy Gap and Thermodynamic Function Properties of Undoped and Co-doped $Cd_{4}GeSe_{6}$ Sing1e Crystals by Chemical Transport Reaction Method (화학수송법으로 성장한 $Cd_4GeSe_{6}$$Cd_{4}GeSe_{6}$ : $CO^{2+}$ 단결정에서 에너지 띠 간격의 온도의존성 및 열역학함수 추정)

  • Kim, Nam-Oh;Kim, Hyung-Gon;Kim, Duck-Tae;Hyun, Seung-Cheol;Oh, Gum-Kon
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.52 no.2
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    • pp.85-90
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    • 2003
  • In this work $Cd_{4}GeSe_{6}$ and $Cd_{4}GeSe_{6}$ : $Co^{2+}$ single crystals were grown by the chemical transport reaction method and the structure of $Cd_{4}GeSe_{6}$ and $Cd_{4}GeSe_{6}$ : $Co^{2+}$ single crystals were monoclinic structure. The temperature dependence of optical energy 9ap was fitted well to Varshni equation. Also, the entropy, enthalpy and heat capacity were deduced from the temperature dependence of optical energy gap.

Evaluation of Thermal Characteristics for a Feeding Axis of Machine Tools Using Finite Element Analysis (유한 요소 해석을 활용한 공작기계 이송축 열적 특성 평가)

  • Lee, Chang Hoon;Choi, Jin Woo
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.22 no.3
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    • pp.380-387
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    • 2013
  • In this study, two finite element (FE) models were developed to evaluate the thermal characteristics of a feeding axis of a CNC lathe. One was used for analysis of heat transfer to identify the temperature distribution of the feeding axis and then, the other was used for analysis of thermal deformation to evaluate its structural behavior based on the temperature distribution. The FE models were based on the test standard for the axial thermal displacement. The feeding velocity was composed of three steps: the ascending, constant, and descending velocities. Therefore, the heat generation and convection coefficient were calculated for each velocity and applied to the thermal FE model. The convection coefficient for the ball screw rotation was based on an experimental equation. The result of the analytical thermal displacement was compared with that of the experimental displacement to verify the finite element models.

A Study on latent heat storage system with Solar heat(Part 1. Development of PCM modeling) (태양열을 이용하는 잠열축열 시스템에 관한 연구(제1보 PCM 계산 모델의 개발))

  • Ku, H.G.;Kim, J.R.
    • Journal of the Korean Solar Energy Society
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    • v.21 no.4
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    • pp.47-54
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    • 2001
  • This study has been conducted to verify the possibility of adaptation of a latent storage type air-conditioning system, shifting the peak load of electronic power to a building. In this paper, an energy equation to evaluate performance of PEM(phase change material) has been suggested and solved, after discretization. As a result, it is confirmed that the results from the energy equation are correspond with those from present studies to analysis of one-dimensional solidification and to analysis of two-dimensional solidification.

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DEFORMATION OF CARTAN CURVATURE ON FINSLER MANIFOLDS

  • Bidabad, Behroz;Shahi, Alireza;Ahmadi, Mohamad Yar
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.6
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    • pp.2119-2139
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    • 2017
  • Here, certain Ricci flow for Finsler n-manifolds is considered and deformation of Cartan hh-curvature, as well as Ricci tensor and scalar curvature, are derived for spaces of scalar flag curvature. As an application, it is shown that on a family of Finsler manifolds of constant flag curvature, the scalar curvature satisfies the so-called heat-type equation. Hence on a compact Finsler manifold of constant flag curvature of initial non-negative scalar curvature, the scalar curvature remains non-negative by Ricci flow and blows up in a short time.

Numerical Analysis for the Unsteady Laminar Flow and Heat Transfer Around a Circular Cylinder (원주 주위의 비정상 층류유동과 열전달에 대한 수치해석)

  • 조석호;남청도;부정숙
    • Journal of Advanced Marine Engineering and Technology
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    • v.15 no.2
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    • pp.64-72
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    • 1991
  • The unsteady, two-dimensional laminar flow and heat transfer of an incompressible, constant-property fluid flowing around a circular cylinder are numerically analyzed. The Navier-Strokes equation and the energy equation are solved by the finite difference method. The range of the Reynolds number is 10 to 100 and the Prandtl number considered is 0.7. The contours of the flow pattern, equi-vorticity line and isotherm pattern around a circular cylinder are shown. Also, numerical solutions of the surface vorticity, pressure coefficient, drag coefficient, local Nusselt number and mean Nusselt number are obtained. The numerical results for the final time fo calculation are compared with the other available experimental and theoretical results for the steady state and are found to be in good agreement with them.

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Hydrogen Supplying System using Metal Hydride (금속 수소화물을 이용한 수소공급시스템)

  • Bae, Sang-Chul;Katsuta, Masafumi
    • 한국신재생에너지학회:학술대회논문집
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    • 2007.06a
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    • pp.13-19
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    • 2007
  • To find out the optimum design of hydrogen storage and supply tank using Metal Hydride (briefly MH) and to make clear the performance characteristics under various conditions are our research purpose. In order to use the low-temperature exhaust heat, $LaNi_{4.7}Al_{0.3}$ which operates under the low pressure of 1 MPa is chosen, and we measure the basic properties, namely density, specific heat, PCT(Pressure-Concentration-Temperature) characteristics, and effective thermal conductivity. Then, a numerical calculation model of hydrogen storage using MH alloy is suggested and this thermal diffusion equation of model is solved by the backward difference method. This calculation results are compared with the experimental results of the systems which installed 1kg MH alloy and, it is found out that our calculation model can well predict the experimental results. By the experimental using MH alloy, it is recognized that the hydrogen flow rate can control by the step adjustment of brine temperature.

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MODELING OF THE BAINITE TRANSFORMATION KINETICS IN C-MN-MO-NI STEEL WELD CGHAZ

  • Sangho Uhm;Lee, Changhee;Kim, Joohak;JunhwaHong
    • Proceedings of the KWS Conference
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    • 2002.10a
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    • pp.276-281
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    • 2002
  • A metallurgical model for bainite transformation kinetics in the coarse-grained heat affected zone(CGHAZ) on the basis of an Avrami-type equation was studied. Isothermal transformation tests were carried out to obtain the empirical equations for incubation time and Avrami kinetic constants for C-Mn-Mo-Ni steel. The effect of prior austenite grain size(PAGS) on the reaction rate of bainite was also investigated. Compared with experimental transformation behavior of bainite, the predicted behavior was in good agreement. It was also found that a smaller grain size retard the bainite reaction rate, contrary to the classical grain size effect and this is considered to be caused by constraint of grain size to bainite growth.

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APPLICATION OF PRODUCT OF THE MULTIVARIABLE A-FUNCTION AND THE MULTIVARIABLE SRIVASTAVA'S POLYNOMIALS

  • Kumar, Dinesh;Ayant, Frederic;Choi, Junesang
    • East Asian mathematical journal
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    • v.34 no.3
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    • pp.295-303
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    • 2018
  • Gautam et al. [9] introduced the multivariable A-function, which is very general, reduces to yield a number of special functions, in particular, the multivariable H-function. Here, first, we aim to establish two very general integral formulas involving product of the general class of Srivastava multivariable polynomials and the multivariable A-function. Then, using those integrals, we find a solution of partial differential equations of heat conduction at zero temperature with radiation at the ends in medium without source of thermal energy. The results presented here, being very general, are also pointed out to yield a number of relatively simple results, one of which is demonstrated to be connected with a known solution of the above-mentioned equation.

An Analytical Solution for Transient Temperature Distribution in Fillet Arc Welding Including the Effect of Molten Metal (용착 금속을 고려한 필릿 용접에서 온도 분포 예측을 위한 해석적 모델)

  • 정선국;조형석
    • Journal of Welding and Joining
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    • v.13 no.3
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    • pp.116-124
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    • 1995
  • This paper presents an analytical solution to predict the transient temperature distribution in fillet arc welding including the effect of molten metal. The solution is obtained by solving a transient three-dimensional heat conduction equation with convection boundary conditions on the surfaces of a plate, and mapping the infinite plate onto the fillet weld geometry with energy equation. The electric heat input on the fillet weld and on the infinite plate is assumed to have a combination of two bivariate Gaussian distribution. To check the validity of the solution. FCA welding experiments were performed under various welding conditions. The actual isotherms of the weldment cross-sections at various distances from the arc start point are compared with those of simulation result.

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A Study on Response Time Index and Operating Time for Fusible Link Sprinkler Head (용융형 스프링클러 헤드의 응답시간 지수 및 작동시간에 관한 연구)

  • 이병곤;태순호
    • Journal of the Korean Society of Safety
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    • v.6 no.4
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    • pp.34-44
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    • 1991
  • In this study, the general solution of heat balance equation including conductive heat loss were suggested and were determined the constants with the results of experiment in hot tunnel in order to derive the general equation for the response time and to investigate the response time index which represent the characteristics of response of sprinkler head in actual fires. Two types of test were considered, the plunge test, in which the air temperature is represented by a step function, and the ramp test, in which the air temperature increases at a constant rate. As a result, simple equations were derived, which can be predicted the response time for the ramp type fire with the rate of temperature rise and gas velocity, for the plunge type fire with temperature and gas velocity. Also other useful data, such as the effective temperature, time constant, response time index and conduction parameter were obtained.

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